Fundamental Theorem Of Algebra For Quadratic Equations

Every algebraic equation with real or imaginary coefficients has at least one root, real or imaginary.

THEOREM:

A quadratic equation cannot have more than two distinct roots.

Proof:

Let a quadratic equation be ax2 + bx + c = 0 [a ≠ 0] (1)

Then by the fundamental theorem of algebra the equation (1) has
at least one root. Let this root be . Then, by the remainder theorem (x - ) is a factor of
the expression ax2 + bx + c and a2 + b + c = 0. Hence,

ax2 + bx + c = (x - )(px + q) (2)

where p ( ≠ 0) and q are constants [Since quotient is a
linear expression when the quadratic expression (ax2 + bx + c) is divided by (x - )].

Thus, a quadratic equation cannot have more than two distinct roots.
(Proved)

Online Solution Fundamental Theorem Quadratic Equation Help:

If you are stuck with a Solution Fundamental Theorem Quadratic Equation Homework problem and
need help, we have excellent tutors who can provide you with Homework Help. Our tutors who
provide Solution Fundamental Theorem Quadratic Equation help are highly qualified. Our tutors
have many years of industry experience and have had years of experience providing Solution
Fundamental Theorem Quadratic Equation Homework Help. Please do send us the Solution
Fundamental Theorem Quadratic Equation problems on which you need Help and we will forward
then to our tutors for review.

Online Tutor Introduction Fundamental Theorem Quadratic Equation:

We have the best tutors in math in the industry. Our tutors can break down a complex Introduction
Fundamental Theorem Quadratic Equation problem into its sub parts and explain to you in detail how
each step is performed. This approach of breaking down a problem has been appreciated by majority
of our students for learning Introduction Fundamental Theorem Quadratic Equation concepts. You will
get one-to-one personalized attention through our online tutoring which will make learning fun and
easy. Our tutors are highly qualified and hold advanced degrees. Please do send us a request for
Introduction Fundamental Theorem Quadratic Equation tutoring and experience the quality yourself.